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Simplifying 0.33(6x + -8) = 0.66(5x + -2) + 9 Reorder the terms: 0.33(-8 + 6x) = 0.66(5x + -2) + 9 (-8 * 0.33 + 6x * 0.33) = 0.66(5x + -2) + 9 (-2.64 + 1.98x) = 0.66(5x + -2) + 9 Reorder the terms: -2.64 + 1.98x = 0.66(-2 + 5x) + 9 -2.64 + 1.98x = (-2 * 0.66 + 5x * 0.66) + 9 -2.64 + 1.98x = (-1.32 + 3.3x) + 9 Reorder the terms: -2.64 + 1.98x = -1.32 + 9 + 3.3x Combine like terms: -1.32 + 9 = 7.68 -2.64 + 1.98x = 7.68 + 3.3x Solving -2.64 + 1.98x = 7.68 + 3.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.3x' to each side of the equation. -2.64 + 1.98x + -3.3x = 7.68 + 3.3x + -3.3x Combine like terms: 1.98x + -3.3x = -1.32x -2.64 + -1.32x = 7.68 + 3.3x + -3.3x Combine like terms: 3.3x + -3.3x = 0.0 -2.64 + -1.32x = 7.68 + 0.0 -2.64 + -1.32x = 7.68 Add '2.64' to each side of the equation. -2.64 + 2.64 + -1.32x = 7.68 + 2.64 Combine like terms: -2.64 + 2.64 = 0.00 0.00 + -1.32x = 7.68 + 2.64 -1.32x = 7.68 + 2.64 Combine like terms: 7.68 + 2.64 = 10.32 -1.32x = 10.32 Divide each side by '-1.32'. x = -7.818181818 Simplifying x = -7.818181818
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